Cosmological perturbations in massive gravity and the Higuchi bound

2012/06/30 by Matteo Fasiello, Andrew J. Tolley · 11 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Physics #Theoretical physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1088/1475-7516/2012/11/035

24 pages, typos and conventions corrected

arxiv created 2012/07/05 · openalex publication_date 2012/11/20 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In de Sitter spacetime there exists an absolute minimum for the mass of a spin-2 field set by the Higuchi bound m 2 ⩾ 2 H 2 . We generalize this bound to arbitrary spatially flat FRW geometries in the context of the recently proposed ghost-free models of Massive Gravity with an FRW reference metric, by performing a Hamiltonian analysis for cosmological perturbations. We find that the bound generically indicates that spatially flat FRW solutions in FRW massive gravity, which exhibit a Vainshtein mechanism in the background as required by consistency with observations, imply that the helicity zero mode is a ghost. In contradistinction to previous works, the tension between the Higuchi bound and the Vainshtein mechanism is equally strong regardless of the equation of state for matter.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Nonlinear dynamics of 3D massive gravity
• f(R)theories of gravity
• Pauli–Fierz gravitons on Friedmann–Robertson–Walker background
• Theoretical Aspects of Massive Gravity
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Bimetric gravity from ghost-free massive gravity
• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Is cosmic speed-up due to new gravitational physics?
• Republication of: The dynamics of general relativity
• Massive and mass-less Yang-Mills and gravitational fields
• The galileon as a local modification of gravity
• Galileon inflation

Cited by

• Graviton mass bounds
• BB mode angular power spectrum of CMB from massive gravity
• Cosmological viability of massive gravity with generalized matter coupling
• On couplings to matter in massive (bi-)gravity
• Coupling between Galileon and massive gravity with composite metrics
• Small-scale tests of inflation
• Integrated Sachs-Wolfe effect in massive bigravity
• Viability of bigravity cosmology
• Long range effects in gravity theories with Vainshtein screening
• Tensor squeezed limits and the Higuchi bound
• Massive graviton dark matter with environment dependent mass: A natural explanation of the dark matter-baryon ratio

Related

• General Massive Spin-2 on de Sitter Background
• FRW Cosmology in Ghost Free Massive Gravity
• Massive Gravity: Resolving the Puzzles
• Aspects of massive gravity
• Observational constraints on massive gravity